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Efficient Legendre moment computation for grey level images

G.Y. Yang, H.Z. Shu, C. Toumoulin, G.N. Han, L.M. Luo
2006 Pattern Recognition  
We propose here a new fast method for computing the Legendre moments, which is not only suitable for binary images but also for grey levels.  ...  The method is then extended to the calculation of the two-dimensional Legendre moments Lpq. We show that the proposed method is more efficient than the direct method.  ...  13 (3) It does not require so many multiplications that as the direct method, leading thus to a better efficiency in terms of computational time. (4) The algorithm can be implemented in parallel.  ... 
doi:10.1016/j.patcog.2005.08.008 fatcat:l5xsq352rrbh5jzjzv4m22leqa

Moment-based approaches in imaging part 3: computational considerations [A Look at...]

Huazhong Shu, Limin Luo, J.-L. Coatrieux
2008 IEEE Engineering in Medicine and Biology Magazine  
The problem of accurate computation of moments should thus be addressed. These two aspects are examined in this third paper.  ...  This issue is also of concern for moments in particular when high orders have to be computed. Special attention must therefore be paid to fast computation.  ...  Because the problem of fast computation of the geometric moments has been extensively investigated, one way for efficiently computing other kinds of moments such as Legendre and Zernike moments is to express  ... 
doi:10.1109/memb.2008.918690 pmid:18519189 pmcid:PMC2527213 fatcat:6tkun5m3ybeo7ibyctyoua5kzm

Robust Template Matching Using Orthogonal Legendre Moment Invariants

2010 Journal of Computer Science  
Conclusion: Template matching by using exact Legendre moment invariants is very efficient where the high accuracy ensure the matching process and avoids any mismatching.  ...  Results: Experimental results showed that template matching by using exact Legendre moment invariants achieve higher degree of robustness.  ...  The set of 2D central Legendre moments of the order-(p+q) could be computed in a very fast way by employing successive computation of the 1D q-th order moment for each row.  ... 
doi:10.3844/jcssp.2010.1083.1087 fatcat:fv4ozeqk7fgjxfm4s6jc4of5am

Image representation based on fractional order Legendre and Laguerre orthogonal moments

R. M. Farouk, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt, Qamar A. A. Awad, Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
2021 International Journal of Advanced and Applied Sciences  
We have generated a novel set of Fractional order Legendre orthogonal Moments (FLeMs) from fractional order Legendre orthogonal functions and a new set of Fractional order Laguerre orthogonal Moments (  ...  The computational time of the proposed techniques is compared with the computational time of Chebyshev orthogonal Moments techniques and gives better results.  ...  Fractional order Legendre orthogonal Moments (FLeMs) For any two dimensions image ( , ) ∈ 2 ([0,1] × [0, 1]) the continuously Legendre moment of order (n+m) can be defined as in the following formula:  ... 
doi:10.21833/ijaas.2021.02.007 fatcat:atvqm5mgkvczdgmtdml5565ifa

An Efficient Method for Computation of Legendre Moments

Huazhong Shu, Limin Luo, Xudong Bao, Wenxue Yu, Guoniu Han
2000 Graphical Models  
In this paper, an efficient algorithm for computing 2D and 3D Legendre moments is presented.  ...  Finally, an efficient method for computing 3D Legendre moments is developed.  ...  Then the existing algorithms for computing the geometric moments are applied to improve the computational efficiency in the calculation of the Legendre moments.  ... 
doi:10.1006/gmod.2000.0523 fatcat:vquvq5ehujc6dhlyc4qgg4fc6e

Moment Features Weighting for Image Retrieval

HabibollahAgh Atabay
2016 IOSR Journal of Computer Engineering  
Weighting algorithms are important group of feature selection schemes.  ...  The performance of the algorithm is compared with well-known ReliefF feature weighting and selection algorithm.  ...  One of the important weighting algorithms is Relief [8] , which was devised for two class problems.  ... 
doi:10.9790/0661-1805043237 fatcat:z3bprmstyfewnmd3v3qr476b24

New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

Haiyong Wu, Jean Louis Coatrieux, Huazhong Shu
2013 Mathematical Problems in Engineering  
An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants.  ...  According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments.  ...  To reduce the computation time, we have proposed an efficient algorithm based on matrix multiplication for computing both 3D moments and 3D invariants.  ... 
doi:10.1155/2013/813606 fatcat:5pajoft26zh33clekbyl3eeoeq

Comparative Study of Exact Continuous Orthogonal Moments Applications : Local Feature Extraction and Data Compression

Zaineb Bahaoui, Rachid Benouini, Hakim EL Fadili, Khalid Zenkouar, Arsalane Zarghili
2017 Transactions on Machine Learning and Artificial Intelligence  
This paper present an improved reconstruction algorithm of the multigray level images based on overlapping block method using exact continuous moments computation: Legendre , Zernike, Pseudo Zernike and  ...  This method aim to ensure high accuracy and low computation time, using only small finite number of moments.  ...  Conclusion In this paper, a novel and faster algorithm for the computation of exact continuous moments: Legendre, Zernike, PseudoZernike and Gegenbauer, have been presented.  ... 
doi:10.14738/tmlai.54.3226 fatcat:66hrizmqwbfrnfqshwpfjprt7u

Lapped Block Image Analysis via the Method of Legendre Moments

Hakim El Fadili, Khalid Zenkouar, Hassan Qjidaa
2003 EURASIP Journal on Advances in Signal Processing  
Research investigating the use of Legendre moments for pattern recognition has been performed in recent years. This field of research remains quite open.  ...  The main motivation of the proposed approaches is to allow fast and efficient reconstruction algorithm, with improvement of the reconstructed images quality.  ...  In this study, the error analysis and characterization of Legendre moments descriptors have been investigated, where several new techniques to increase the accuracy and the efficiency of the moments are  ... 
doi:10.1155/s1110865703305062 fatcat:wdggpvlt5jfapcnoc7kkhvpcji

A New Computational Model of High-Order Stochastic Simulation Based on Spatial Legendre Moments

Lingqing Yao, Roussos Dimitrakopoulos, Michel Gamache
2018 Mathematical Geosciences  
Legendre moments.  ...  With this computational model, the algorithm for the estimation of the cpdf is developed in such a way that the conditional cumulative distribution function (ccdf) can be computed conveniently through  ...  Computational Complexity The most computationally demanding part of the high-order simulation algorithm is to calculate the Legendre series coefficients, which is the basis for estimating the cpdfs.  ... 
doi:10.1007/s11004-018-9744-z pmid:30931019 pmcid:PMC6404987 fatcat:4jiknlh4wrb4nit6cyrls2ivqy

Application of a hybrid orthogonal function system on trademark image retrieval

Xiaochun WANG, Yena WANG, Honglei SUN, Ruixia SONG
2014 Journal of Advanced Mechanical Design, Systems, and Manufacturing  
However computation of Tchebichef moments is time consuming, especially for higher order moments.  ...  The W-moments have two main advantages, one is computationally simple due to the piecewise linear structure of the basis functions, and the other is the reproducibility, namely shapes and even shape groups  ...  Table 1 presents the retrieval efficiency of ZM, LM and W-moments (WM) with different maximum order of moments, and it shows that number of order up to 14 gives the highest retrieval efficiency for WM  ... 
doi:10.1299/jamdsm.2014jamdsm0077 fatcat:mfupg6ujozdklcxlps4ft3ranq

Biological visual attention guided automatic image segmentation with application in satellite imaging

M. I. Sina, A.-M. Cretu, P. Payeur
2012 Human Vision and Electronic Imaging XVII  
It then proposes a novel algorithm for automatic image segmentation and regions of interest search that combines elements of human visual attention with Legendre moments applied on the probability density  ...  of the performance of computational image processing systems.  ...  For this task a sliding window of a particular size is considered and for each position of the window the Legendre moments of the PDF of color histograms of that window are computed.  ... 
doi:10.1117/12.911996 dblp:conf/hvei/SinaCP12 fatcat:7xyto2nfrne6jc7cbajlwhoieu

Evolving Neural Networks Using Moment Method For Handwritten Digit Recognition

H. El Fadili, K. Zenkouar, H. Qjidaa
2007 Zenodo  
In the preprocessing phase, a new feature extraction method is proposed based on Legendre moments with the Maximum entropy principle MEP as a selection criterion.  ...  global convergence of the algorithm.  ...  two parents to form new offsprings.  ... 
doi:10.5281/zenodo.1082058 fatcat:mmvfwaq25fdqrdauf4cgo4scrq

New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method

Zhenyi Lin, Nan Chen, Yongzhen Fan, Wei Li, Knut Stamnes, Snorre Stamnes
2018 Journal of the Atmospheric Sciences  
The new Delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments.  ...  Compared with the original Delta-M method, Delta-M+ has the same computational efficiency, but for radiance computations the accuracy and stability have been increased dramatically.  ...  of the Legendre moments, the d-M1 algorithm is mathematically elegant, accurate, reliable, and computationally fast.  ... 
doi:10.1175/jas-d-17-0233.1 pmid:33867576 pmcid:PMC8051203 fatcat:g65ctzk2bfd2tbosfzhhumj5my

Fast and accurate computation of orthogonal moments for texture analysis [article]

C. Di Ruberto, L. Putzu, G. Rodriguez
2018 arXiv   pre-print
In this work we describe a fast and stable algorithm for the computation of the orthogonal moments of an image.  ...  In order to assess and compare the accuracy of the computed moments in texture analysis, we perform classification experiments on six well-known databases of texture images.  ...  Algorithm 3 M =legmoms(F ,q) computation of Legendre moments Require: F ∈ R M ×N grayscale digital image, q order of the moments to be computed Ensure: M ∈ R (q+1)×(q+1) matrix of Legendre moments 1: if  ... 
arXiv:1803.00638v2 fatcat:ibfmtwbcx5evjlcohnjre2ssim
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